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Finding the Fourth Proportional to 29,742.33, 44,597.82 and 15,709.89

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Solution

The fourth proportional to 29,742.33, 44,597.82 and 15,709.89 is: 23,556.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,742.33 : 44,597.82 = 15,709.89 : x
  2. Step 2: Convert to fraction form
    29,742.33/44,597.82 = 15,709.89/x
  3. Step 3: Cross multiply
    29,742.33x = 44,597.82 × 15,709.89
  4. Step 4: Simplify right side
    29,742.33x = 700,626,846.44
  5. Step 5: Solve for x
    x = 700,626,846.44/29,742.33
  6. Step 6: Final answer
    x = 23,556.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.